In such a project where allocations matter one would not stare at class definitions, one would ensure that there are no allocations by forbidding use of libraries like the STL and for example disabling operator new and the copy constructor. If the project is safety-critical there are tools which can enforce such rules.
Edit: I've clarified that I was referring to C++ libraries only.
The problem isn't "Kernel code should not allocate" but "Kernel code should not implicitly allocate".
And C++ thinks this is none of your business. You can have no allocation by not providing an allocator - but you can't have no implicit allocation because the language will go out of its way to hide some of the obvious places allocation might happen rather than expose its warts.
Here's my list:
* RTTI: would be disabled
* Exceptions: would be disabled
* STL, stdlib: would not be used
Now of course you could say, "Oh I never use objects, those are awful" but then you ought to ask yourself what exactly the point was of having C++ at all. Or you could say, "We'll ban constructors from allocating" but C++ won't help you enforce that rule and the resulting code won't be idiomatic C++. Implied allocation is just normal in C++.
Also note that although Rust's full standard library won't be available in the kernel, you do get Vectors, you get Rust's reference counted "smart pointer" types, Iterators, Option and Result and so on. In Rust such things don't have implied allocation, only explicit allocation which is fine.
Rust used today in the real world does have some places with implied allocation, a notable example is String concatenation. Rust won't let you write
let hw = "Hello, " + "world";
However, the String implementation in the Rust standard library, and currently in kernel Rust, will let you write: let h = "Hello".to_owned(); // Now it's a String
let hw = h + ", world";
But, that's one of the anticipated objections from Linus, and you'd just remove AddAssign (and possibly Add) from the Strings to cure it by forcing programmers to actually spell out what they want to happen here instead of acting as though concatenating strings is free.(2) seems the most tricky, but in reality, in a context like the Linux kernel where the libraries would be written from scratch or wrap existing C code, this can be controlled well. If one is including a new language in the kernel, it should be comparably low effort for example to write a custom vector container which exactly fulfills their requirements.
In the end I realize that C (and I assume Rust) makes it easier to reason about allocations in simple pieces of code which don't call functions, but this is not a deal breaker for C++ either.
So I don't think that allocations is the answer to the question of "Why Rust over C++?", as you claimed when you said "The allocations thing in particular". It's perhaps part of the answer, together with other technical reasons and personal likes or dislikes. And I believe that the latter are an important part of that answer that few if any are bringing up in this thread.
I think you could address this point by using a slightly forked version of a C++ standard library that marked all its allocating constructors and allocating conversion functions with the "explicit" keyword. (But you wouldn't be able to upstream this, ever.)
I'm not sure if there's any other case where you'd have implicit allocations that you wouldn't be able to avoid. You may be right that this is doable entirely with library changes provided you avoid RTTI and exceptions.
One specific weird case is the copy done when capturing things into a lambda: https://godbolt.org/z/Y7fG5hjqq I expect the first allocation here because I'm explicitly calling the constructor, and that's fine, but the second one surprises me a bit, because the copy constructor is marked "explicit". Maybe people who work with C++ more regularly than me find this less surprising.
But that goes back to the problem 'tialaramex raised, about how "How many allocations does this do?" is a quiz question. Distinguishing zero from at-least-one is important, and you can do that by avoiding any heap-allocated-container types entirely, but so is distinguishing one from more-than-one.
Rust got luckier here, by the time Rust was invented programmers knew they really care about this, and so Rust explicitly distinguishes Copy (this object is just bits, so you can duplicate it by copying the bits), from Clone (this object can be duplicated, but you need to call its clone() method to explicitly do that work) and gives Move semantics to all assignments of types which do not have Copy.
So in Rust "let a = b" definitely isn't doing memory allocation, it just moves bits. If you misunderstand the situation and assumed b is still valid because it was Copy, but actually it isn't, the compiler has your back and will politely refuse to let you use variable b after it was Moved. If you did still need b you can write "let a = b.clone()" and now they both still exist but anybody can see this code might be doing something expensive 'cos it calls this clone method. And if the compiler says "Ahem, you can't Clone that" then you've just learned something very important about the thing that a minute ago you assumed was just a few trivially duplicated bits.